anonymous 3 years ago What Is The Value Of n So That The Expression X² + 12 x + n Is A Perfect Square Trinomial ? ( 1 Point ) A . 36 B . 36 C . 72 D . 144

1. ParthKohli

HINT: \[x^2 + 6x + 6x + n\]

2. ParthKohli

\[x(x + 6) + 6(x + \cdots)\]

3. ParthKohli

4. anonymous

I'm Not So Sure Still

5. ParthKohli

Do you know that if you have a perfect square polynomial, then you must separate the middle term into the two same numbers.

6. ParthKohli

Here, \(12 x = 6x + 6x\).

7. skullpatrol

\$\$a^2 +2ab+b^2 = (a+b)^2\$\$ \$\$x² + 12 x + n\$\$

8. ParthKohli

Now factor the first two terms: \(x^2 + 6x = x(x + 6)\)

9. anonymous

Is It D ?

10. ParthKohli

\[(x + a)^2 = x^2 + 2ax + a^2\]\(12x= 2ax\)

11. skullpatrol

Why do both A and B have the same answer @CaritaDeAngel ?

12. ParthKohli

How do you think it is D? Can you explain?

13. anonymous

Oops A Is Actually Supposed To Be 6

14. anonymous

Sorry My Mistake I Didn't See That

15. skullpatrol

No problem :)

16. anonymous

I'll Re-Type The Answer Choices Again In Case You Get Confused A . 6 B . 36 C . 72 D . 144

17. skullpatrol

|dw:1362059808210:dw|

18. anonymous

Is This Supposed To Be A Graph ?

19. anonymous

Or Just The Numbers ?

20. skullpatrol

|dw:1362059930311:dw|

21. skullpatrol

|dw:1362059990294:dw|

22. anonymous

I Think It's D But I Know I'm Not Sure

23. skullpatrol

|dw:1362060112145:dw|

24. skullpatrol

|dw:1362060295839:dw|

25. anonymous

Ok . Is It B ?

26. skullpatrol

Correct. \$\$6^2=36=n\$\$

27. anonymous

Oh Ok Thank You

28. skullpatrol

np :)

29. anonymous

I Have One More Question

30. anonymous

A Rocket Is Launched From Atop A 105-foot Cliff With An Initial Velocity Of 156 ft/s . The Height Of The Rocket Above The Ground At Time t Is Given By h = –16t2 + 156t + 105 . When Will The Rocket Hit The Ground After It Is Launched ? Round To The Nearest Tenth Of A Second . (1 point)

31. anonymous

A . 4.9 s B . 9.8 s C . 0.6 s D . 10.4 s

32. anonymous

I'm Guessing It's D

33. anonymous

Oh I Just Sent My Work . OMG I Got A 100 % !